Analyze the relationships based on the given sets of inequalities and equalities.

Steps to Solve

1. Understanding Inequalities

   The problem involves multiple inequalities among various entities. We need to interpret these inequalities to find the relationships among the elements.

2. Breaking Down the Given Relations

   The first line states: $$ A = B \geq P \leq T = S; Q < C = D < P < U; E > F $$ From this, we can list the relationships:

   • $A = B \geq P$
   • $P \leq T = S$
   • $Q < C = D$
   • $D < P < U$
   • $E > F$

3. Organizing the Relationships

   The second line states: $$ P \geq B = A \geq S < T \leq Q; C \leq S > D > R = J $$ This shows:

   • $P \geq B = A \geq S < T \leq Q$
   • $C \leq S > D$
   • $D > R = J$

4. Evaluating Further Conditions

   The third line provides: $$ T \leq S < Q < A = P \geq M = K; R = D \geq A > C \leq S $$ Which leads to these relationships:

   • $T \leq S < Q < A = P \geq M = K$
   • $R = D \geq A > C \leq S$

5. Comparing and Validating Statements I and II

   We have two statements to evaluate:

   • I. $V < C$
   • II. $Q < R$ From the inequalities established, we can check the validity of these statements by comparing them with our earlier findings.

6. Construct a Final Order

   We must find a final comparative order of all the elements and evaluate the statements to decide their validity in relation to this order.